Final answer:
The x-coordinate of the point where the line y + 5 = -3(x + 6) intersects the x-axis is -7.6667.
Step-by-step explanation:
The student has asked to find the x-coordinate of the point where the line given by the equation y + 5 = -3(x + 6) intersects the x-axis. To find this, we must set y to zero since the y-coordinate of any point on the x-axis is zero. Substituting y = 0 into the equation gives 0 + 5 = -3(x + 6). Simplifying this, we get:
- 5 = -3x - 18
- 5 + 18 = -3x
- 23 = -3x
- x = -23 / 3
- x = -7.6667
Therefore, the x-coordinate at the point where the line intersects the x-axis is -7.6667.